diff --git a/migration/migration.c b/migration/migration.c
index 2d1da917c7..a280722e9e 100644
--- a/migration/migration.c
+++ b/migration/migration.c
@@ -92,6 +92,9 @@ enum mig_rp_message_type {
     MIG_RP_MSG_MAX
 };
 
+/* Migration channel types */
+enum { CH_DEFAULT, CH_MULTIFD, CH_POSTCOPY };
+
 /* When we add fault tolerance, we could have several
    migrations at once.  For now we don't need to add
    dynamic creation of migration */
@@ -929,26 +932,33 @@ void migration_fd_process_incoming(QEMUFile *f)
 /*
  * Returns true when we want to start a new incoming migration process,
  * false otherwise.
+ *
+ * All the required channels must be in place before a new incoming
+ * migration process starts.
+ *  - Multifd enabled:
+ *    The main channel and the multifd channels are required.
+ *  - Multifd/Postcopy disabled:
+ *    The main channel is required.
+ *  - Postcopy enabled:
+ *    We don't want to start a new incoming migration when
+ *    the postcopy channel is created. Because it is created
+ *    towards the end of the precopy migration.
+ *
  */
-static bool migration_should_start_incoming(bool main_channel)
+static bool migration_should_start_incoming(uint8_t channel)
 {
-    /* Multifd doesn't start unless all channels are established */
-    if (migrate_multifd()) {
-        return migration_has_all_channels();
-    }
+    bool ret = false;
+
+    if (channel != CH_POSTCOPY) {
+        MigrationIncomingState *mis = migration_incoming_get_current();
+        ret = mis->from_src_file ? true : false;
 
-    /* Preempt channel only starts when the main channel is created */
-    if (migrate_postcopy_preempt()) {
-        return main_channel;
+        if (ret && migrate_multifd()) {
+            ret = multifd_recv_all_channels_created();
+        }
     }
 
-    /*
-     * For all the rest types of migration, we should only reach here when
-     * it's the main channel that's being created, and we should always
-     * proceed with this channel.
-     */
-    assert(main_channel);
-    return true;
+    return ret;
 }
 
 void migration_ioc_process_incoming(QIOChannel *ioc, Error **errp)
@@ -956,13 +966,12 @@ void migration_ioc_process_incoming(QIOChannel *ioc, Error **errp)
     MigrationIncomingState *mis = migration_incoming_get_current();
     Error *local_err = NULL;
     QEMUFile *f;
-    bool default_channel = true;
     uint32_t channel_magic = 0;
+    uint8_t channel = CH_DEFAULT;
     int ret = 0;
 
-    if (migrate_multifd() && !migrate_mapped_ram() &&
-        !migrate_postcopy_ram() &&
-        qio_channel_has_feature(ioc, QIO_CHANNEL_FEATURE_READ_MSG_PEEK)) {
+    if (!migration_should_start_incoming(channel)) {
+        if (qio_channel_has_feature(ioc, QIO_CHANNEL_FEATURE_READ_MSG_PEEK)) {
         /*
          * With multiple channels, it is possible that we receive channels
          * out of order on destination side, causing incorrect mapping of
@@ -973,42 +982,58 @@ void migration_ioc_process_incoming(QIOChannel *ioc, Error **errp)
          * tls handshake while initializing main channel so with tls this
          * issue is not possible.
          */
-        ret = migration_channel_read_peek(ioc, (void *)&channel_magic,
-                                          sizeof(channel_magic), errp);
+            ret = migration_channel_read_peek(ioc, (void *)&channel_magic,
+                                              sizeof(channel_magic), errp);
+            if (ret != 0) {
+                return;
+            }
 
-        if (ret != 0) {
-            return;
+            if (channel_magic == cpu_to_be32(QEMU_VM_FILE_MAGIC)) {
+                channel = CH_DEFAULT;
+            } else if (channel_magic == cpu_to_be32(MULTIFD_MAGIC)) {
+                channel = CH_MULTIFD;
+            } else if (!mis->from_src_file
+                        && mis->state == MIGRATION_STATUS_POSTCOPY_PAUSED) {
+                /* reconnect default channel for postcopy recovery */
+                channel = CH_DEFAULT;
+            } else {
+                error_report("%s: could not identify channel, unknown magic: %u",
+                                __func__, channel_magic);
+                return;
+            }
+        } else if (mis->from_src_file
+            && (!strcmp(ioc->name, "migration-tls-incoming")
+                || !strcmp(ioc->name, "migration-file-incoming"))) {
+            channel = CH_MULTIFD;
         }
-
-        default_channel = (channel_magic == cpu_to_be32(QEMU_VM_FILE_MAGIC));
-    } else {
-        default_channel = !mis->from_src_file;
+    } else if (mis->from_src_file) { // && migrate_postcopy_preempt()
+        channel = CH_POSTCOPY;
     }
 
     if (multifd_recv_setup(errp) != 0) {
         return;
     }
 
-    if (default_channel) {
+    if (channel == CH_DEFAULT) {
         f = qemu_file_new_input(ioc);
         migration_incoming_setup(f);
-    } else {
+    } else if (channel == CH_MULTIFD) {
         /* Multiple connections */
-        assert(migration_needs_multiple_sockets());
         if (migrate_multifd()) {
             multifd_recv_new_channel(ioc, &local_err);
-        } else {
-            assert(migrate_postcopy_preempt());
-            f = qemu_file_new_input(ioc);
-            postcopy_preempt_new_channel(mis, f);
         }
         if (local_err) {
             error_propagate(errp, local_err);
             return;
         }
+    } else if (channel == CH_POSTCOPY) {
+        assert(migrate_postcopy_preempt());
+        assert(!mis->postcopy_qemufile_dst);
+        f = qemu_file_new_input(ioc);
+        postcopy_preempt_new_channel(mis, f);
     }
 
-    if (migration_should_start_incoming(default_channel)) {
+    if (migration_should_start_incoming(channel)) {
         /* If it's a recovery, we're done */
         if (postcopy_try_recover()) {
             return;
@@ -1025,21 +1050,22 @@ void migration_ioc_process_incoming(QIOChannel *ioc, Error **errp)
  */
 bool migration_has_all_channels(void)
 {
+    bool ret = false;
     MigrationIncomingState *mis = migration_incoming_get_current();
 
     if (!mis->from_src_file) {
-        return false;
+        return ret;
     }
 
     if (migrate_multifd()) {
-        return multifd_recv_all_channels_created();
+        ret = multifd_recv_all_channels_created();
     }
 
-    if (migrate_postcopy_preempt()) {
-        return mis->postcopy_qemufile_dst != NULL;
+    if (ret && migrate_postcopy_preempt()) {
+        ret = mis->postcopy_qemufile_dst != NULL;
     }
 
-    return true;
+    return ret;
 }
 
 int migrate_send_rp_switchover_ack(MigrationIncomingState *mis)
diff --git a/migration/multifd-nocomp.c b/migration/multifd-nocomp.c
index 1325dba97c..d0edec7cd1 100644
--- a/migration/multifd-nocomp.c
+++ b/migration/multifd-nocomp.c
@@ -16,6 +16,7 @@
 #include "file.h"
 #include "multifd.h"
 #include "options.h"
+#include "migration.h"
 #include "qapi/error.h"
 #include "qemu/cutils.h"
 #include "qemu/error-report.h"
@@ -391,7 +392,7 @@ int multifd_ram_flush_and_sync(QEMUFile *f)
     MultiFDSyncReq req;
     int ret;
 
-    if (!migrate_multifd()) {
+    if (!migrate_multifd() || migration_in_postcopy()) {
         return 0;
     }
 
diff --git a/migration/options.c b/migration/options.c
index b8d5300326..8c878dea49 100644
--- a/migration/options.c
+++ b/migration/options.c
@@ -479,11 +479,6 @@ bool migrate_caps_check(bool *old_caps, bool *new_caps, Error **errp)
             error_setg(errp, "Postcopy is not compatible with ignore-shared");
             return false;
         }
-
-        if (new_caps[MIGRATION_CAPABILITY_MULTIFD]) {
-            error_setg(errp, "Postcopy is not yet compatible with multifd");
-            return false;
-        }
     }
 
     if (new_caps[MIGRATION_CAPABILITY_BACKGROUND_SNAPSHOT]) {
diff --git a/migration/ram.c b/migration/ram.c
index f2326788de..bdba7abe73 100644
--- a/migration/ram.c
+++ b/migration/ram.c
@@ -1295,7 +1295,7 @@ static int find_dirty_block(RAMState *rs, PageSearchStatus *pss)
         pss->page = 0;
         pss->block = QLIST_NEXT_RCU(pss->block, next);
         if (!pss->block) {
-            if (multifd_ram_sync_per_round()) {
+            if (multifd_ram_sync_per_round() && !migration_in_postcopy()) {
                 QEMUFile *f = rs->pss[RAM_CHANNEL_PRECOPY].pss_channel;
                 int ret = multifd_ram_flush_and_sync(f);
                 if (ret < 0) {
@@ -1969,7 +1969,7 @@ static int ram_save_target_page(RAMState *rs, PageSearchStatus *pss)
         }
     }
 
-    if (migrate_multifd()) {
+    if (migrate_multifd() && !migration_in_postcopy()) {
         RAMBlock *block = pss->block;
         return ram_save_multifd_page(block, offset);
     }
